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Finding the Fourth Proportional to 9,294.68, 12,823.53 and 5,312.97

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Solution

The fourth proportional to 9,294.68, 12,823.53 and 5,312.97 is: 7,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.68 : 12,823.53 = 5,312.97 : x
  2. Step 2: Convert to fraction form
    9,294.68/12,823.53 = 5,312.97/x
  3. Step 3: Cross multiply
    9,294.68x = 12,823.53 × 5,312.97
  4. Step 4: Simplify right side
    9,294.68x = 68,131,030.18
  5. Step 5: Solve for x
    x = 68,131,030.18/9,294.68
  6. Step 6: Final answer
    x = 7,330.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.